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Finding the Fourth Proportional to 553,613, 763,985.96 and 298,964.20

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Solution

The fourth proportional to 553,613, 763,985.96 and 298,964.20 is: 412,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,613 : 763,985.96 = 298,964.20 : x
  2. Step 2: Convert to fraction form
    553,613/763,985.96 = 298,964.20/x
  3. Step 3: Cross multiply
    553,613x = 763,985.96 × 298,964.20
  4. Step 4: Simplify right side
    553,613x = 228,404,451,342.63
  5. Step 5: Solve for x
    x = 228,404,451,342.63/553,613
  6. Step 6: Final answer
    x = 412,570.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.